Cool roots.#Pythagorean

Algebra Level 5

given that P(x)=x3+ax2+bx14760 P(x)= x^3 +ax^2 +bx-14760 has integral roots α,β,γ\alpha,\beta,\gamma such that α2+β2=γ2 \alpha^2 +\beta^2 =\gamma^2 find P(10)P(10) modmod 88 88. detailsdetails & assumptionassumption 0α<β<γ,α<β<γ0\ne|\alpha|<|\beta|<|\gamma|, \alpha<\beta<\gamma work with the maximum value of α,β,γ\alpha,\beta,\gamma

All roots are positive.

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